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Finding the Fourth Proportional to 2,817.42, 4,226.44 and 869.78

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Solution

The fourth proportional to 2,817.42, 4,226.44 and 869.78 is: 1,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.42 : 4,226.44 = 869.78 : x
  2. Step 2: Convert to fraction form
    2,817.42/4,226.44 = 869.78/x
  3. Step 3: Cross multiply
    2,817.42x = 4,226.44 × 869.78
  4. Step 4: Simplify right side
    2,817.42x = 3,676,072.98
  5. Step 5: Solve for x
    x = 3,676,072.98/2,817.42
  6. Step 6: Final answer
    x = 1,304.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.